A company producing a standard line and a deluxe line of dishwasher has the following time requirements (in minutes) in departments where either model can be processed

Standard Deluxe

Stamping 3 6

Motor Installation 10 10

Wiring 10 15

The standard mode contributes $20 each and the deluxe $30 each to profits. Because the company produces other items that shares resources used to make the dishwasher, the stamping machine is available only 30 minutes per hour, on average. The motor installation production line has 60 minutes available each hour. There are two lines for wiring, so the time available is 90 minutes per hour.

Let X = Number of standard dishwashers produced per hour
Y = Number of deluxe dishwasher produced per hour

Write the formulation for this linear Program.